2. picking a number from 1 to 5 and choosing
the color red, white, or blue

Answer:

a)   x₁ = 14

     x₂ = - 6

b) x = 4

c) P(max ) = 4000000 $

Step-by-step explanation:

To find the axis of symmetry we solve the equation

a) -4x² + 32x + 336 = 0

4x²  - 32x  - 336  = 0       or    x² - 8x - 84 = 0

x₁,₂ = [ -b ± √b² -4ac ]/2a

x₁,₂ = [ 8  ±√(64) + 336 ]/2

x₁,₂ = [ 8  ± √400 ]/2

x₁,₂ =( 8 ± 20 )/2

x₁  = 14

x₂ = -6

a) Axis of symmetry must go through the middle point between the roots

x = 4 is the axis of symmetry

c) P = -4x² + 32x + 336

Taking derivatives on both sides of the equation we get

P´(x) = - 8x + 32  ⇒  P´(x) = 0     - 8x + 32

x = 32/8

x = 4    Company has to sell  4 ( 4000 snowboard)

to get  a profit :

P = - 4*(4)² + 32*(4) + 336

P(max) = -64  + 128 + 336

P(max) = 400           or  400* 10000 =  4000000

Answer:

Null hypothesis:  

Alternative hypothesis:  

If we compare the p value obtained and the significance level given we see that so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that the true proportion is not significantly lower than 0.4 or 40% at 1% of significance.  

Step-by-step explanation:

1) Data given and notation  

n=150 represent the random sample taken

X=45 represent the people with type A blood

estimated proportion of people with type A blood

is the value that we want to test

represent the significance level

Confidence=99% or 0.99

z would represent the statistic (variable of interest)

represent the p value (variable of interest)  

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion of people type A blood is less than 0.4:  

Null hypothesis:  

Alternative hypothesis:  

When we conduct a proportion test we need to use the z statisitc, and the is given by:  

(1)  

The One-Sample Proportion Test is used to assess whether a population proportion is significantly different from a hypothesized value .

3) Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

4) Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided . The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

If we compare the p value obtained and the significance level given we see that so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that the true proportion is not significantly lower than 0.4 or 40% at 1% of significance.  

Answer:

The balance of water left in the bottle is 625 milliliters.

How Liters and Milliliters are calculated?

• A liter exists as a unit of volume in the metric system.
• A liter exists described as the volume of a cube that exists 10 centimeters on a side.
• Liters and milliliters are metric units of volume which are used to measure the capacity of a liquid.
• The capacity of a liquid can be measured in milliliters, centiliters, liters, and kiloliters.
• There are about 3.785 liters in a U.S. gallon.

1 liter = 1000 milliliters

Let, 1000 milliliters - 375 milliliters = 625 milliliters

To learn more about liters and milliliters refer to:

brainly.com/question/16455980

#SPJ2

Answer:

625 millilitres

Step-by-step explanation:

1 litre = 1000 millilitres

Left -> 1000 millilitres - 375 millilitres = 625 millilitres

19

Step-by-step explanation:

when we add 9 and 10 we will get sum 19

Answer:

21

Step-by-step explanation:

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